Question

The Aswan High Dam is 111 m high. What is the water pressure at the foot of the dam?

a. 1.09MPa
b. 1.09kPa
c. 0.111kPa
d. 111 Pa
e. 0.111MPa

Answer 1

The water pressure at the foot of the Aswan High Dam, which is 111 m high, is calculated to be approximately 1.09 MPa, using the formula for pressure due to a column of liquid.

Step-by-step explanation:

To calculate the water pressure at the foot of the Aswan High Dam, which is 111 m high, you use the formula for pressure due to a column of liquid:

P = ρgh

Where:

• P is the pressure,
• ρ (rho) is the density of water (approximately 1000 kg/m3),
• g is the acceleration due to gravity (9.8 m/s2),
• h is the height of the water column.

Inserting the values, we get:

P = 1000 kg/m3 × 9.8 m/s2 × 111 m = 1,088,800 Pa

Since 1 MPa = 1,000,000 Pa, we convert the pressure to megapascals:

P = 1.0888 MPa ≈ 1.09 MPa.

Therefore, the correct answer to the question is (a) 1.09MPa.